University of Minnesota
School of Mathematics
School of Mathematics         The diagram illustrates the local accuracy of the tangent line approximation to a smooth curve, or--otherwise stated--the closeness of the differential of a function to the difference of function values due to a small increment of the independent variable.  
    math.umn.edu / grad / msonway

Obtaining an M.S. on the way to a Ph.D.

Obtaining an M.S. on the way to a Ph.D.

Here are the forms for a Mathematics Ph.D. student to use to pick up an M.S. along the way to a Ph.D.: